Hence, for suitable small values of \(\varepsilon ,\delta >0\) , the perturbed functional (REF ) has no irreducible critical points, and we have a concrete description of the reducible critical points. In particular, the corresponding perturbed Dirac operators have no kernel, so that the critical points in the blow-down are regular. Finally, we can introduce an additional small perturbation to achieve regularity in the blow-up in the sense of [1]} (without introducing irreducible critical points), making in particular the spectrum of the perturbed Dirac operators at the reducible critical points simple; from this, in the next section we will find a concrete description of the Floer chain complex in terms of the action of \(\tilde{\varphi }^*\)  on \(H^0(L)\) .
